TY - JOUR T1 - A Hydrodynamic Approach To Cancer JF - bioRxiv DO - 10.1101/014696 SP - 014696 AU - Alexander Pinkowski AU - Walter Lilienblum Y1 - 2015/01/01 UR - http://biorxiv.org/content/early/2015/02/03/014696.abstract N2 - This is the pre-print version of a paper submitted to Technische Mechanik (ISSN 0232-3869)dh/dc= ratio of diameters in healthy (h) and cancer infected (c) vessels,ζ=pressure drop coefficient acc. to /28/ε=hematocritρ͂=mean blood densityXLM= Lockhart-Martinell (LM) factorΦtt= corrected LM factor for turbulent flow in both phasesΦll= corrected LM factor for laminar flow in both phasesd= diameter of blood vesselsv□h= mean blood flow velocity in healthy vesselsγ̇h= shear rate in healthy vesselsηrep,h= representative viscosity in healthy vesselsReh= Reynolds number in healthy vesselsλh= friction factor in healthy vesselsτw,h= wall shear stress in healthy vesselsv□c= mean blood flow velocity in cancer infected vesselsl= tube lengthγ̇c= shear rate in cancer infected vesselsηrep,c= representative viscosity in cancer infected vesselsΦ= corrected acc. to (17) Lockhart-Martinelli factorλt / λl= attenuation factor = ratio of friction factors for turbulent (t) and laminar (l) flows resp. ER -